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Finding the Fourth Proportional to 33,196.41, 49,794.84 and 9,823.05

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Solution

The fourth proportional to 33,196.41, 49,794.84 and 9,823.05 is: 14,734.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,196.41 : 49,794.84 = 9,823.05 : x
  2. Step 2: Convert to fraction form
    33,196.41/49,794.84 = 9,823.05/x
  3. Step 3: Cross multiply
    33,196.41x = 49,794.84 × 9,823.05
  4. Step 4: Simplify right side
    33,196.41x = 489,137,203.06
  5. Step 5: Solve for x
    x = 489,137,203.06/33,196.41
  6. Step 6: Final answer
    x = 14,734.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.